Finding the Fourth Proportional to 9,414.62, 12,990.78 and 5,636.90

Step by Step Solution

1. Step 1: Write the proportion equation
   9,414.62 : 12,990.78 = 5,636.90 : x
2. Step 2: Convert to fraction form
   9,414.62/12,990.78 = 5,636.90/x
3. Step 3: Cross multiply
   9,414.62x = 12,990.78 × 5,636.90
4. Step 4: Simplify right side
   9,414.62x = 73,227,727.78
5. Step 5: Solve for x
   x = 73,227,727.78/9,414.62
6. Step 6: Final answer
   x = 7,778.09